5. The following marks out of 50 were given by two judges to the contestants in a talent contest:
| Contestant | \(A\) | \(B\) | \(C\) | \(D\) | \(E\) | \(F\) | \(G\) | \(H\) |
| Judge 1 \(( x )\) | 43 | 32 | 40 | 21 | 47 | 11 | 29 | 38 |
| Judge 2 \(( y )\) | 39 | 25 | 40 | 22 | 36 | 13 | 27 | 32 |
Given that \(\sum x = 261 , \sum x ^ { 2 } = 9529\) and \(\sum x y = 8373\),
- calculate the product-moment correlation coefficient between the two judges' marks.
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5 continued...
- Find an equation of the regression line of \(x\) on \(y\).
Contestant \(I\) was awarded 45 marks by Judge 2 .
- Estimate the mark that this contestant would have received from Judge 1.
- Comment, with explanation, on the probable accuracy of your answer.